Radical of filters on equality algebra-Reference-Cited by-同舟云学术

Radical of filters on equality algebra

Published:2021-12-16 Issue:6 Volume:41 Page:7151-7165
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Aaly Kologani M.¹,Hoskova-Mayerova S.²,Borzooei R. A.¹,Rezaei G. R.³

Affiliation:

1. Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran

2. Department of Mathematics and Physics, Faculty of Military Technology, University of Defence, Brno, Czech Republic

3. Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran

Abstract

In this paper, by using the concept of maximal filter of equality algebra, we introduce radical of equality algebra. Then some equivalence definitions of it and some related properties are investigated. Then by using this notion, we introduce the concept of semi-maximal filter and prime-like filter on equality algebras and the relation between them and other filters of equality algebra are investigated. Finally, by using the notion of prime-like filters, we introduce a topology on equality algebra.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

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